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Finding the Fourth Proportional to 388,058.40, 580,921.20 and 230,205.60

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Solution

The fourth proportional to 388,058.40, 580,921.20 and 230,205.60 is: 344,616.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,058.40 : 580,921.20 = 230,205.60 : x
  2. Step 2: Convert to fraction form
    388,058.40/580,921.20 = 230,205.60/x
  3. Step 3: Cross multiply
    388,058.40x = 580,921.20 × 230,205.60
  4. Step 4: Simplify right side
    388,058.40x = 133,731,313,398.72
  5. Step 5: Solve for x
    x = 133,731,313,398.72/388,058.40
  6. Step 6: Final answer
    x = 344,616.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.